MAT0020/24C Beginning Algebra

State ALGEBRA Competency EXAM

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AN EXPLANATION AND PRACTICE PROBLEMS

Comp Exam Question

Algebra State Test Competency

1

Order of Operations (No Grouping / No Exponents)

2

Order of Operations (with Grouping and Exponents)

3

Absolute Value (with Addition and Subtraction)

4

Simplify Algebraic Expressions

(Using the Distributive Property)

5

Evaluate an Algebraic Expression

6

Solve a Linear Equation

7

Solve a Linear Equation with Fraction Coefficient(s)

8

Solve a Literal Equation

9

Translate a Word Problem into an Algebraic Expression

10

Solve a Word Problem

11

Translate a Word Problem into a Proportion

12

Simplify Exponential Expressions

(Positive Integer Exponents)

13

Simplify Exponential Expressions

(Positive and Negative Integer Exp.)

14

Simplify Exponential Expressions

(Positive, Neg. and Zero Integer Exp.)

15

Scientific Notation (To and From)

16

Subtraction of Polynomials: (polynomial) – (polynomial)

17

Multiply a Monomial and a Binomial:

(monomial)(binomial)

18

Multiply Two Binomials:  (binomial)(binomial)

19

Factoring a Polynomial:  Greatest Common Factor (GCF)

20

Factoring a Polynomial:  Difference of Two Squares

21

Factoring a Polynomial:  By Grouping

22

Factoring a Polynomial:  A Trinomial

23

Simplify a Rational Expression  Reduce by Factoring

24

Solving Quadratic Equations by Factoring

(Leading Coefficient is ONE, a=1)

25

Solving Quadratic Equations by Factoring

(Leading Coefficient is not ONE)

26

Simplify Square Root of a Monomial

27

Simplify Square Root of a Polynomial Using the Distributive Property

28

Solving a Linear Inequality

29

Identify Intercepts of a Linear (ax + by = c)

30

Match Linear Equation to Graph

(ax + by = c or y = mx + b)